Digital in-line holography: influence of the reconstruction function on the axial profile of a reconstructed particle image

Fournier, Corinne; Ducottet, Christophe; Fournel, Thierry

doi:10.1088/0957-0233/15/4/010

Cited by 44 publications

(36 citation statements)

References 11 publications

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“…(iii) spurious twin-images of the particles get reconstructed; (iv) multiple focusing can occur around the actual depth location of each particle [19];…”

Section: Presentation Of These Methodsmentioning

confidence: 99%

Digital holography of particles: benefits of the ‘inverse problem’ approach

Gire

Denis

Fournier

et al. 2008

Meas. Sci. Technol.

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Abstract. The potential of in-line digital holography to locate and measure the size of particles distributed throughout a volume (in one shot) has been established. These measurements are fundamental for the study of particle trajectories in fluid flow. The most important issues in digital holography today are: the poor depth positioning accuracy, the transverse field of view limitation, border artifacts and the computational burden. We recently suggested an "inverse problem" approach to address some of these issues for the processing of particle digital holograms. The described algorithm improves axial positioning accuracy, gives particle diameters with sub-micrometer accuracy, eliminates border effects and increases the size of the studied volume. This approach for processing particle holograms pushes back some classical constraints. For example, the Nyquist criterion is no longer a restriction for the recording step and the studied volume is no longer confined to the field of view delimited by the sensor borders. In this paper we present a review of limitations commonly found in digital holography. We then discuss the benefits of the "inverse problem" approach and the influence of some experimental parameters in this framework.

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“…(iii) spurious twin-images of the particles get reconstructed; (iv) multiple focusing can occur around the actual depth location of each particle [19];…”

Section: Presentation Of These Methodsmentioning

confidence: 99%

Digital holography of particles: benefits of the ‘inverse problem’ approach

Gire

Denis

Fournier

et al. 2008

Meas. Sci. Technol.

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“…9 In our laboratory, R(x,y) is either computed by applying a wavelet transformation or a Fractional Fourier Transformation. 2,7,10 It is easy to show that when z r =z e =z, and by introducing (4) in (5), we obtain :…”

Section: Hologram Reconstructionmentioning

confidence: 99%

Digital in-line holography for the extraction of 3D trajectories of small particles in a 2D Benard-von Karman flow

et al. 2006

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Digital In-line Holography is widely used to visualize fluid flows seeded with small particles. Such holograms record directly the far-field diffraction patterns of particles on a CCD camera. From the successive reconstruction planes, the three-dimensional location of the particles can be determined. This imaging system doesn't need focusing. The principle is based on the direct analysis of the diffraction patterns by mean of space-frequency operators such as Wavelet Transformation or Fractional Fourier Transformation. This method, already tested in our laboratory, leads to a better resolution than classical holography for the estimation of 3D particle locations (50µm instead of 0.5mm in depth). In the case of moving particles, it is interesting to illuminate the sample volume by several laser pulses. This can be easily realized by controlling the input current of a modulated laser diode. Then, the CCD camera cumulates the sum of in-line particle holograms recorded at different times. By searching for the best focus plane of each particle image, the 3D coordinate of each particle can be extracted at a given time. This technique is applied to determine trajectories of small particles in a well-controlled 2D Bénard-von Kármán street allowing a Lagrangian approach. Preliminary results are presented.

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“…The objective is quality in this quest to reach holography's limit. 5,6,7 On the other hand, the need for fast processes adequate with inline monitoring or dynamic studies raises new challenges. Speed becomes primordial over precision in this class of applications.…”

Section: Introductionmentioning

confidence: 99%

Direct extraction of the mean particle size from a digital hologram

et al. 2006

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Digital holography, consisting of both acquiring the hologram image in a digital camera and numerically reconstructing the information, offers new and faster ways to make the most of a hologram. We describe in this paper a new method to get the rough size of particles in an inline hologram. It relies on a property specific to interference patterns in Fresnel holograms: self-correlation of a hologram gives access to size information.The proposed method is both simple and fast and gives results with acceptable precision. It suppresses all "numerical depth of focus" related problems when analysing large depth volumes.

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Digital in-line holography: influence of the reconstruction function on the axial profile of a reconstructed particle image

Cited by 44 publications

References 11 publications

Digital holography of particles: benefits of the ‘inverse problem’ approach

Digital holography of particles: benefits of the ‘inverse problem’ approach

Digital in-line holography for the extraction of 3D trajectories of small particles in a 2D Benard-von Karman flow

Direct extraction of the mean particle size from a digital hologram

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